Torsion theories and Galois coverings of topological groups

Gran, Marino;Rossi, Valentina
(2007) Journal of Pure and Applied Algebra — Vol. 208, n° 1, p. 135-151 (2007)

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For any torsion theory in a homological category, one can define a categorical Galois structure and try to describe the corresponding Galois coverings. In this article we provide several characterizations of these coverings for a special class of torsion theories, which we call quasi-hereditary. We describe a new reflective factorization system that is induced by any quasi-hereditary torsion theory. These results are then applied to study various examples of torsion theories in the category of topological groups. (c) 2005 Elsevier B.V. All rights reserved.
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Gran, M., & Rossi, V. (2007). Torsion theories and Galois coverings of topological groups. Journal of Pure and Applied Algebra, 208(1), 135-151. https://doi.org/10.1016/j.jpaa.2005.12.001 (Original work published 2007)